Simplifying algebraic expressions

Tags

CCSS.7.EE.A.1

If P = (2a + 3) and Q = (4 - 3a), then what is the value of (P - Q)²?

• 4a² - 6a + 12

• 25a² - 10a + 12

• 25a² - 10a + 1

• 6a² - 6a + 12

Answer explanation

If P = (2a + 3) and Q = (4 - 3a) then, P - Q = (2a + 3) - (4 - 3a) = 2a + 3 - 4 + 3a = (5a -1) So, (P - Q)² = (5a -1)² Using (x - y)² = x² - 2xy + y² (P - Q)² = (5a)² - 2 (5a) (1) + (1)² = 5²a² - 10a + 1 = 25a² - 10a + 1 So, option 3 is correct.

Tags

CCSS.7.EE.A.1

Factor the expression:

4w - 16

• 2(2w - 8)

• 4(w - 16)

• 2(2w - 4)

• 4(w - 4)

Tags

CCSS.7.EE.A.1

Create an equivalent expression using the GCF of the numbers below!

28 + 32

(Rewritten as a sum)

Tags

CCSS.7.EE.A.1

Factor the following Expression Completly using the GCF:

 $\left(15y\ +\ 5\right)$  

• y ( 15 + 5)

• 3 ( 5y + 1)

• 5 ( 3y + 1)

• 1( 15y + 5)

Tags

CCSS.7.EE.A.1

Factor 7x(9x -2)-1(9x -2)

• (7x - 1)(9x - 2)

• (7x + 1)(9x - 2)

• (7x - 1)(9x + 1)

• (7x - 2)(9x - 1)

Tags

CCSS.7.EE.A.1

Factor the expression: 8x + 64

• 4(2x -24)

• 2(4x + 30)

• 8(1x - 8)

• 8( x + 8)

Tags

CCSS.7.EE.A.1

Factor the expression using the GCF:
24k + 32

• 8(3k + 4)
• 2(12k + 16)
• 24k + 32
• 8(3k + 5)

Tags

CCSS.7.EE.A.1

What is the (GCF) Greatest Common Factor of 12 and 8?

Tags

CCSS.7.EE.A.1

Which shows the expression 20 + 25 with the GCF factored out?

• 10 (10 + 15)

• 1 (20 + 25)

• 2 (10 + 12)

• 5 (4 + 5)

Tags

CCSS.7.EE.A.1